27882001889280 has 3456 divisors, whose sum is σ = 129014707348800. Its totient is φ = 5689772605440.

The previous prime is 27882001889251. The next prime is 27882001889299. The reversal of 27882001889280 is 8298810028872.

27882001889280 is a `hidden beast` number, since 2 + 78 + 8 + 200 + 1 + 8 + 89 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119665244044 + ... + 119665244276.

Almost surely, 2^{27882001889280} is an apocalyptic number.

27882001889280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27882001889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64507353674400).

27882001889280 is an abundant number, since it is smaller than the sum of its proper divisors (101132705459520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27882001889280 is a wasteful number, since it uses less digits than its factorization.

27882001889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 27882001889280 in words is "twenty-seven trillion, eight hundred eighty-two billion, one million, eight hundred eighty-nine thousand, two hundred eighty".